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Finding the Fourth Proportional to 117,633.41, 175,470.30 and 106,281.87

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Solution

The fourth proportional to 117,633.41, 175,470.30 and 106,281.87 is: 158,537.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,633.41 : 175,470.30 = 106,281.87 : x
  2. Step 2: Convert to fraction form
    117,633.41/175,470.30 = 106,281.87/x
  3. Step 3: Cross multiply
    117,633.41x = 175,470.30 × 106,281.87
  4. Step 4: Simplify right side
    117,633.41x = 18,649,311,942.47
  5. Step 5: Solve for x
    x = 18,649,311,942.47/117,633.41
  6. Step 6: Final answer
    x = 158,537.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.